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Statistical modelling of passive-scalar diffusion in turbulent shear flows

Published online by Cambridge University Press:  21 April 2006

Akira Yoshizawa
Akira Yoshizawa
Affiliation:
Institute of Industrial Science, University of Tokyo, 7–22–1. Roppongi. Minato-ku, Tokyo 106, Japan
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Abstract

Modelling of turbulent passive-scalar diffusion is studied using the statistical results from a two-scale direct-interaction approximation. In this model, the mean scalar, the scalar variance and the dissipation rate of scalar variance constitute fundamental diffusion quantities. The turbulent scalar flux is written in the form of an anisotropic eddy-diffusivity representation. This representation, paving the way for explaining anisotropic heat transport, is tested against typical experimental data. The present model equation for the dissipation rate of scalar variance also gives a theoretical justification for the existing equations that are adopted in the second-order models.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 195 , October 1988 , pp. 541 - 555
Copyright
© 1988 Cambridge University Press

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References

Bradshaw P., Cebeci, T. & Whitelaw J. H. 1981 Engineering Calculation Methods for Turbulent Flow. Academic.
Durbin P. A. 1980 J. Fluid Mech. 100, 279.
Durbin P. A. 1982 Phys. Fluids 25, 1328.
Elghobashi, S. E. & Launder B. E. 1983 Phys. Fluids 26, 2415.
Herring J. R., Schertzer D., Lesieur M., Newman G. R., Chollet, J. P. & Larcheveque M. 1982 J. Fluid Mech. 124, 411.
Kraichnan R. H. 1959 J. Fluid Mech. 5, 597.
Kraichnan R. H. 1964 Phys. Fluids 7, 1048.
Leslie D. C. 1973 Developments in the Theory of Turbulence. Clarendon.
Leslie D. C. 1980 J. Fluid Mech. 98, 435.
Nagano, Y. & Kim C. 1987 Trans. JSME B53, 1773.
Newman G. R., Launder, B. E. & Lumley J. L. 1981 J. Fluid Mech. 111, 217.
Nisizima, S. & Yoshizawa A. 1987 AIAA J. 25, 414.
Rodi W. 1980 In Methods for Turbulent Flows (ed. W. Kollmann), p. 259. Hemisphere.
Speziale C. G. 1987 J. Fluid Mech. 178, 459.
Stapountzis H., Sawford B. L., Hunt, J. C. R. & Britter R. E. 1986 J. Fluid Mech. 165, 401.
Takemitsu N. 1987 Trans. JSME B53,3 3629.
Tavoularis, S. & Corrsin. S. 1981 J. Fluid Mech. 104, 311.
Tavoularis, S. & Corrsin S. 1985 Intl J. Heat Mass Transfer 28, 265.
Warhaft, Z. & Lumley J. L. 1978 J. Fluid Mech. 88, 659.
Yoshizawa A. 1982 J. Phys. Soc. Japan 51, 2326.
Yoshizawa A. 1984a J. Phys. Soc. Japan 53, 1264.
Yoshizawa A. 1984b Phys. Fluids 27, 1377.
Yoshizawa A. 1985a Phys. Fluids 28, 59.
Yoshizawa A. 1985b Phys. Fluids 28, 3226.
Yoshizawa A. 1985c Phys. Fluids 28, 3313.
Yoshizawa A. 1987 Phys. Fluids 30, 628.
Yoshizawa A. 1988 Phys. Fluids 31, 311.